sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive Class Reference

Operation for evaluating weakly fundamental spline linear combinations on Boundary grids, their gradients and their Hessians. More...

#include <OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive.hpp>

Inheritance diagram for sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive:

Public Member Functions
void	evalHessian (const DataMatrix &alpha, const DataVector &point, DataVector &value, DataMatrix &gradient, std::vector< DataMatrix > &hessian) override
double	evalHessian (const DataVector &alpha, const DataVector &point, DataVector &gradient, DataMatrix &hessian) override
	OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive (GridStorage &storage, size_t degree)
	Constructor.
	~OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive () override
	Destructor.
Public Member Functions inherited from sgpp::base::OperationEvalHessian
	OperationEvalHessian ()
	Constructor.
virtual	~OperationEvalHessian ()
	Destructor.

Protected Attributes
SWeaklyFundamentalSplineBase	base
	1D spline basis
SWeaklyFundamentalSplineBaseDeriv1	baseDeriv1
	1D spline basis derivative
SWeaklyFundamentalSplineBaseDeriv2	baseDeriv2
	1D spline basis 2nd derivative
DataVector	innerDerivative
	inner derivative (temporary vector)
DataVector	pointInUnitCube
	untransformed evaluation point (temporary vector)
GridStorage &	storage
	storage of the sparse grid

Additional Inherited Members
Public Attributes inherited from sgpp::base::OperationEvalHessian
DataVector	pointInUnitCube
	untransformed evaluation point (temporary vector)

Detailed Description

Operation for evaluating weakly fundamental spline linear combinations on Boundary grids, their gradients and their Hessians.

Constructor & Destructor Documentation

OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive()

sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive ( GridStorage &  storage, size_t  degree  )

inline

Constructor.

Parameters

storage	storage of the sparse grid
degree	B-spline degree

~OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive()

sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::~OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive ( )

inlineoverride

Destructor.

Member Function Documentation

evalHessian() [1/2]

void sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::evalHessian ( const DataMatrix &  alpha, const DataVector &  point, DataVector &  value, DataMatrix &  gradient, std::vector< DataMatrix > &  hessian  )

overridevirtual

Parameters

	alpha	coefficient matrix (each column is a coefficient vector)
	point	evaluation point
[out]	value	values of the linear combination
[out]	gradient	Jacobian of the linear combination (each row is a gradient vector)
[out]	hessian	vector of Hessians of the linear combination

Reimplemented from sgpp::base::OperationEvalHessian.

References alpha, base, baseDeriv1, baseDeriv2, sgpp::base::WeaklyFundamentalSplineBasis< LT, IT >::eval(), sgpp::base::WeaklyFundamentalSplineBasisDeriv1< LT, IT >::eval(), sgpp::base::WeaklyFundamentalSplineBasisDeriv2< LT, IT >::eval(), sgpp::base::HashGridStorage::getBoundingBox(), sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::BoundingBox::getIntervalWidth(), sgpp::base::HashGridPoint::getLevel(), sgpp::base::HashGridStorage::getSize(), innerDerivative, m, pointInUnitCube, sgpp::base::DataMatrix::resize(), sgpp::base::DataMatrix::setAll(), sgpp::base::DataVector::setAll(), storage, and sgpp::base::BoundingBox::transformPointToUnitCube().

evalHessian() [2/2]

double sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::evalHessian ( const DataVector &  alpha, const DataVector &  point, DataVector &  gradient, DataMatrix &  hessian  )

overridevirtual

Parameters

	alpha	coefficient vector
	point	evaluation point
[out]	gradient	gradient vector of the linear combination
[out]	hessian	Hessian matrix of the linear combination

Returns

value of the linear combination

Implements sgpp::base::OperationEvalHessian.

References sgpp::base::DataMatrix::add(), sgpp::base::DataVector::add(), alpha, base, baseDeriv1, baseDeriv2, sgpp::base::WeaklyFundamentalSplineBasis< LT, IT >::eval(), sgpp::base::WeaklyFundamentalSplineBasisDeriv1< LT, IT >::eval(), sgpp::base::WeaklyFundamentalSplineBasisDeriv2< LT, IT >::eval(), sgpp::base::HashGridStorage::getBoundingBox(), sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::BoundingBox::getIntervalWidth(), sgpp::base::HashGridPoint::getLevel(), sgpp::base::HashGridStorage::getSize(), innerDerivative, pointInUnitCube, sgpp::base::DataMatrix::setAll(), sgpp::base::DataVector::setAll(), storage, and sgpp::base::BoundingBox::transformPointToUnitCube().

Member Data Documentation

base

SWeaklyFundamentalSplineBase sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::base

protected

1D spline basis

Referenced by evalHessian(), and evalHessian().

baseDeriv1

SWeaklyFundamentalSplineBaseDeriv1 sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::baseDeriv1

protected

1D spline basis derivative

Referenced by evalHessian(), and evalHessian().

baseDeriv2

SWeaklyFundamentalSplineBaseDeriv2 sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::baseDeriv2

protected

1D spline basis 2nd derivative

Referenced by evalHessian(), and evalHessian().

innerDerivative

DataVector sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::innerDerivative

protected

inner derivative (temporary vector)

Referenced by evalHessian(), and evalHessian().

pointInUnitCube

DataVector sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::pointInUnitCube

protected

untransformed evaluation point (temporary vector)

Referenced by evalHessian(), and evalHessian().

storage

GridStorage& sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::storage

protected

storage of the sparse grid

Referenced by evalHessian(), and evalHessian().

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The documentation for this class was generated from the following files:

• base/src/sgpp/base/operation/hash/OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive.hpp
• base/src/sgpp/base/operation/hash/OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive.cpp